Evolution inequalities with noncoercive <i>w </i><sub>λ <sub>0 </sub></sub>-pseudomonotone volterra-type mappings

  • P. O. Kasyanov
  • V. S. Mel'nik


We consider a class of differential-operator inequalities with noncoercive w λ 0 -pseudomonotone operators. The problem of the existence of solutions of the Cauchy problem for these inequalities is investigated by using the Dubinsky method. A priori estimates for these solutions and their derivatives are obtained. We give a model example that illustrates the results and generalizations obtained.
How to Cite
Kasyanov, P. O., and V. S. Mel’nik. “Evolution Inequalities With Noncoercive <i>w </i><sub>λ <sub>0 </sub></Sub&gt;-Pseudomonotone Volterra-Type Mappings”. Ukrains’kyi Matematychnyi Zhurnal, Vol. 60, no. 11, Nov. 2008, pp. 1499 -, https://umj.imath.kiev.ua/index.php/umj/article/view/3264.
Research articles